Characterization of unsteady double-diffusive mixed convection flow with soret and dufour effects in a square enclosure with top moving lid

Document Type : Full Length Research Article

Author

University of Isfahan, Iran

Abstract

The present study considers the numerical examination of an unsteady thermo-solutal mixed convection when the extra mass and heat diffusions, called as Soret and Dufour effects, were not neglected. The numerical simulations were performed in a lid-driven cavity, where the horizontal walls were kept in constant temperatures and concentrations. The vertical walls were well insulated. A finite volume method based on SIMPLE algorithm was utilized to solve the coupled governing equations. Numerical simulations are performed for wide combinations of Soret and Duofour coefficients and are given by streamlines, isotherms, isoconcentrations, fluid velocities, average Nusselt and Sherwood numbers. The influences of pertinent parameters on the various heat transfer modes, i.e. convective and conductive modes, as well as the total kinematic energy of the studied thermo-solutal system are also analyzed.
Results demonstrate that Soret and Dufour effects insignificantly influence the fluid flow and transport phenomena when flow is affected to some extent by the forced convection. It is also achieved that the extra heat diffusion, Dufour effect, affects heat transfer by creating thermal eddies especially when flow is dominated by the natural convection. Besides, the conductive mode of heat transfer is attenuated by Dufour coefficient.

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[1]. R.W. Schmit, “Double diffusion in oceanography,” Annual Review of Fluid Mech, 26, 255–265, (1994).
[2]. R.El. Ayachi, A. Raji, M. Hasnaoui, A. Abdelbaki, M. Nami, “Resonance of double-diffusive convection in a porous medium heated with a sinusoidal exciting temperature,” Journal of. Applied Fluid Mechanica, 3, 43–52, (2010).
[3]. P.K. Bose, D. Sen, R. Panua, A.K. Das, “Numerical analysis of laminar natural convection in a quadrantal cavity with a solid adiabatic fin attached to the hot vertical wall. Journal of. Applied Fluid Mechanica, 6, 501-510, (2013).
[4]. A.A. Abbasian Arani, M. Mahmoodi, S. Mazrouei Sebdani, “On the cooling process of nanofluid in a square enclosure with linear temperature distribution on left wall,” Journal of. Applied Fluid Mechanica, 7, 591-601, (2014).
 [5]. J.Serrano-Arellano, J. Xama`n, G. A`lvarez, “Optimum ventilation based on the ventilation effectiveness for temperature and  distribution in ventilated cavities,” International  Journal of Heat and Mass Transfer, 62, 9–21, (2013).
[6]. S. Bettaibi, F., Kuznik, E. Sediki, “Hybrid LBM-MRT model coupled with finite difference method for double-diffusive mixed convection in rectangular enclosure with insulated moving lid,” Physica A: Statistical Mechanics and its Applications, 444, 311-326, (2016).
[7]. A.M. Aly, “Double-diffusive natural convection in an enclosure including/excluding sloshing rod using a stabilized ISPH method,”  International Communications in Heat and Mass Transfer, 73, 84-99, (2016).
[8]. J.W. Lee, J.M. Hyun, “Double-diffusive convection in a rectangle with opposing horizontal temperature and concentration gradients,” International  Journal of Heat and Mass Transfer, 32, 1619–1632, (1990).
[9]. J.M. Hyun , J.W. Lee, “Double-diffusive convection in a rectangle with cooperating horizontal gradients of temperature and concentration,” International  Journal of Heat and Mass Transfer, 32, 1605–1617, (1990).
[10]. H.F. Oztop, I. Dagtekin, “Mixed convection in two-sided lid-driven differentially heated square cavity,” International  Journal of Heat and Mass Transfer, 47, 1761–1769, (2004).
[11]. A. Al-Amiri, K. Khanafer, K., J. Bull, I. Pop, “Numerical simulation of combined thermal and mass transport in a square lid-driven cavity,” International Journal of Thermal Science 46, 662–671, (2007).
[12]. Q. Qin, Z.A. Xia, Zhen F. Tian, “High accuracy numerical investigation of double diffusive convection in a rectangular enclosure with horizontal temperature and concentration gradients,” International Journal of Heat and Mass Transfer, 71, 405–423, (2014).
[13]. Sofen K. Jena, Laxman K. Malla, Swarup K. Mahapatra, Ali J. Chamkha, “Transient buoyancy-opposed double diffusive convection of micropolar fluids in a square enclosure,” International Journal of Heat and Mass Transfer 81, 681–694, (2015).
[14]. P. Bhattacharya, S. Das, “Study on steady natural convective heat transfer inside a square cavity for different values of Rayleigh and Nusselt numbers. Journal of Applied Fluid Mechanics 8, 635–640, (2015).
[15]. L. Wang, B. Shi, Z. Chai, X. Yang, “Regularized lattice Boltzmann model for double-diffusive convection in vertical enclosures with heating and salting from below,” Applied Thermal Engineering, 103, 365–376, (2016).
[16]. M.S. Malashetty, S.N., Gaikwad, “Effect of cross diffusion on the onset of double diffusive convection in a porous medium,” International Applied Mechanical Engineering, 6, 675–691, (2001).
[17]. L.K. Rebi, A. Mojtabi, M.J. Safi, A.A. Mohammad, “Numerical study of thermo-solutal convection with Soret effect in a square cavity,”  International Journal of Heat and Fluid Flow 18, 561–579, (2008).
[18]. M. Bhuvaneswari, S. Sivasankaran, Y.J. Kim, “Numerical study on double-diffusive mixed convection with a Soret effect in a two-sided lid-driven cavity,” Numerical Heat Transfer A, 59, 543–560, (2011).
[19]. J. Wang, M. Yang, Y. Zhang, “Onset of double-diffusive convection in horizontal cavity with Soret and Dufour effects,” International  Journal of Heat and Mass Transfer, 78, 1023–1031, (2014).
[20]. Q. Ren, C.L. Chan, “Numerical study of double-diffusive convection in a vertical cavity with Soret and Dufour effects by lattice Boltzmann method on GPU,” International Journal of Heat and Mass Transfer, 93, 538–553, (2016).
[21]. Gh.R. Kefayati, “Simulation of double diffusive natural convection and entropy generation of power-law fluids in an inclined porous cavity with Soret and Dufour effects (Part I: Study of fluid flow, heat and mass transfer),” International Journal of Heat and Mass Transfer, 94, 539–581, (2016).
[22]. J. Wang, M. Yang, Y-L He, Y. Zhang, “Oscillatory double-diffusive convection in a horizontal cavity with Soret and Dufour effects,” International Journal of Thermal Sciences, 106, 57–69, (2016).
[23]. A. Barletta, E. Zanchini, “On the choice of the reference temperature for fully developed mixed convection in a verticle channel,” International  Journal of Heat and Mass Transfer, 42, 3169–3181, (1999).
[24]. T. S. Cheng, “Characteristics of mixed convection heat transfer in a lid-driven square cavity with various Richardson and Prandtl numbers,” International  Journal of Thermal Science, 50, 197–205, (2008).
[25]. O. Goyan, “High-Reynolds number solutions of Navier-Stokes equations using incremental unknowns,” Computational Methods in Applied Mechanical Engineering, 130, 319-335, (1996).
[26]. S.V. Patankar, “Numerical heat transfer and fluid flow,” Hemisphere, Washington D.C. (1980).
[27]. N. Ouertatani, N.B. Cheikh, B.B. Beya, T. Lili, A. Campo, “Mixed convection in a double lid-driven cubic cavity,” International  Journal of Thermal Science, 48, 1265–1272, (2009).
[28]. M.A. Teamah, W.M. El-Maghlany, “Numerical simulation of double-diffusive mixed convection in rectangular enclosure with insulated moving lid,”  International  Journal of Thermal Science, 49, 1625–1638, (2010).
[29]. R. Screiber, H.B. Keller, “Driven cavity flows by efficient numerical techniques,” Journal of Computational Physics 49, 310–333, (1983).
[30]. M.A.R. Sharif, “Laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom,” Applied Thermal Engineering 27, (2007), 1036–1042, (2007).
[31]. A. Malleswaran, S. Sivasankaran, “A numerical simulation on MHD mixed convection in a lid-driven cavity with corner heaters,” Journal of Applied Fluid Mechanics, 9, 311-319, (2016).
[32]. T. R. Mahapatra, D. Pal, S. Mondal, “Effects of buoyancy ratio on double-diffusive natural convection in a lid-driven cavity,” International  Journal of Heat and Mass Transfer, 57, 771-785, (2013).